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97496405 = 5295091321
BaseRepresentation
bin1011100111110…
…10110101010101
320210110022220222
411303322311111
5144424341110
613401404125
72262464036
oct563726525
9223408828
1097496405
1150041546
1228799645
13172780a6
14cd3ca8d
15885cc55
hex5cfad55

97496405 has 16 divisors (see below), whose sum is σ = 121359600. Its totient is φ = 75102720.

The previous prime is 97496393. The next prime is 97496417. The reversal of 97496405 is 50469479.

It is an interprime number because it is at equal distance from previous prime (97496393) and next prime (97496417).

It can be written as a sum of positive squares in 8 ways, for example, as 12432676 + 85063729 = 3526^2 + 9223^2 .

It is not a de Polignac number, because 97496405 - 216 = 97430869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73145 + ... + 74465.

It is an arithmetic number, because the mean of its divisors is an integer number (7584975).

Almost surely, 297496405 is an apocalyptic number.

It is an amenable number.

97496405 is a deficient number, since it is larger than the sum of its proper divisors (23863195).

97496405 is a wasteful number, since it uses less digits than its factorization.

97496405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864.

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 97496405 is about 9874.0267874865. The cubic root of 97496405 is about 460.2525472076.

It can be divided in two parts, 974 and 96405, that added together give a palindrome (97379).

The spelling of 97496405 in words is "ninety-seven million, four hundred ninety-six thousand, four hundred five".

Divisors: 1 5 29 145 509 1321 2545 6605 14761 38309 73805 191545 672389 3361945 19499281 97496405