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97974045 = 32513373449
BaseRepresentation
bin1011101011011…
…11011100011101
320211100121010100
411311233130131
5200040132140
613415531313
72266523421
oct565573435
9224317110
1097974045
1150338394
1228989b39
13173b4610
14d024b81
158904530
hex5d6f71d

97974045 has 48 divisors (see below), whose sum is σ = 183783600. Its totient is φ = 47996928.

The previous prime is 97974029. The next prime is 97974061. The reversal of 97974045 is 54047979.

It is an interprime number because it is at equal distance from previous prime (97974029) and next prime (97974061).

It can be written as a sum of positive squares in 8 ways, for example, as 3437316 + 94536729 = 1854^2 + 9723^2 .

It is not a de Polignac number, because 97974045 - 24 = 97974029 is a prime.

It is a super-3 number, since 3×979740453 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217981 + ... + 218429.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 297974045 is an apocalyptic number.

97974045 is the 8082-nd pentagonal number.

It is an amenable number.

97974045 is a deficient number, since it is larger than the sum of its proper divisors (85809555).

97974045 is a wasteful number, since it uses less digits than its factorization.

97974045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 97974045 is about 9898.1839243368. The cubic root of 97974045 is about 461.0029236141.

The spelling of 97974045 in words is "ninety-seven million, nine hundred seventy-four thousand, forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 373 449 585 1119 1347 1865 2245 3357 4041 4849 5595 5837 6735 14547 16785 17511 20205 24245 29185 43641 52533 72735 87555 167477 218205 262665 502431 837385 1507293 2177201 2512155 6531603 7536465 10886005 19594809 32658015 97974045