97685253 has 24 divisors (see below), whose sum is σ = 146666520. Its totient is φ = 62576640.

The previous prime is 97685249. The next prime is 97685257. The reversal of 97685253 is 35258679.

It is a happy number.

97685253 is a nontrivial binomial coefficient, being equal to C(13978, 2).

It is an interprime number because it is at equal distance from previous prime (97685249) and next prime (97685257).

It can be written as a sum of positive squares in 4 ways, for example, as 8892324 + 88792929 = 2982^2 + 9423^2 .

It is not a de Polignac number, because 97685253 - 2² = 97685249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97685199 and 97685208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97685257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62125 + ... + 63677.

It is an arithmetic number, because the mean of its divisors is an integer number (6111105).

Almost surely, 2^97685253 is an apocalyptic number.

97685253 is the 13977-th triangular number and also the 6989-th hexagonal number.

It is an amenable number.

97685253 is a deficient number, since it is larger than the sum of its proper divisors (48981267).

97685253 is a wasteful number, since it uses less digits than its factorization.

97685253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1826 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 97685253 is about 9883.5850277114. The cubic root of 97685253 is about 460.5495212830.

The spelling of 97685253 in words is "ninety-seven million, six hundred eighty-five thousand, two hundred fifty-three".