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97107937 = 3135572
BaseRepresentation
bin1011100100110…
…11111111100001
320202201121001021
411302123333201
5144324423222
613345205441
72256255343
oct562337741
9222647037
1097107937
114a8a66a3
1228630881
1317170324
14cc7b293
1587d2ac7
hex5c9bfe1

97107937 has 6 divisors (see below), whose sum is σ = 97593398. Its totient is φ = 96623904.

The previous prime is 97107839. The next prime is 97107947. The reversal of 97107937 is 73970179.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17969121 + 79138816 = 4239^2 + 8896^2 .

It is not a de Polignac number, because 97107937 - 223 = 88719329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97107893 and 97107902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97107947) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 174063 + ... + 174619.

Almost surely, 297107937 is an apocalyptic number.

It is an amenable number.

97107937 is a deficient number, since it is larger than the sum of its proper divisors (485461).

97107937 is an frugal number, since it uses more digits than its factorization.

97107937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 83349, while the sum is 43.

The square root of 97107937 is about 9854.3359492155. The cubic root of 97107937 is about 459.6404515546.

The spelling of 97107937 in words is "ninety-seven million, one hundred seven thousand, nine hundred thirty-seven".

Divisors: 1 313 557 174341 310249 97107937