97263936 has 448 divisors, whose sum is σ = 386242560. Its totient is φ = 23224320.

The previous prime is 97263923. The next prime is 97263949. The reversal of 97263936 is 63936279.

97263936 is a `hidden beast` number, since 9 + 7 + 2 + 639 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (97263923) and next prime (97263949).

It is a tau number, because it is divible by the number of its divisors (448).

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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 97263891 and 97263900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261931 + ... + 2261973.

Almost surely, 2^97263936 is an apocalyptic number.

97263936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97263936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193121280).

97263936 is an abundant number, since it is smaller than the sum of its proper divisors (288978624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97263936 is a wasteful number, since it uses less digits than its factorization.

97263936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 97263936 is about 9862.2480195947. The cubic root of 97263936 is about 459.8864496033.

The spelling of 97263936 in words is "ninety-seven million, two hundred sixty-three thousand, nine hundred thirty-six".