97613100 has 252 divisors, whose sum is σ = 345335536. Its totient is φ = 23794560.

The previous prime is 97613093. The next prime is 97613107. The reversal of 97613100 is 131679.

It is an interprime number because it is at equal distance from previous prime (97613093) and next prime (97613107).

It is a super-2 number, since 2×97613100² = 19056634583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97613107) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 947649 + ... + 947751.

Almost surely, 2^97613100 is an apocalyptic number.

97613100 is a gapful number since it is divisible by the number (90) 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 97613100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172667768).

97613100 is an abundant number, since it is smaller than the sum of its proper divisors (247722436).

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

97613100 is a wasteful number, since it uses less digits than its factorization.

97613100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 97613100 is about 9879.9342103073. The cubic root of 97613100 is about 460.4361018620.

Adding to 97613100 its reverse (131679), we get a palindrome (97744779).

The spelling of 97613100 in words is "ninety-seven million, six hundred thirteen thousand, one hundred".