97759116 has 240 divisors, whose sum is σ = 329397600. Its totient is φ = 24893568.

The previous prime is 97759099. The next prime is 97759121. The reversal of 97759116 is 61195779.

It is a super-2 number, since 2×97759116² = 19113689522202912, which contains 22 as substring.

Its product of digits (119070) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3370990 + ... + 3371018.

It is an arithmetic number, because the mean of its divisors is an integer number (1372490).

Almost surely, 2^97759116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97759116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164698800).

97759116 is an abundant number, since it is smaller than the sum of its proper divisors (231638484).

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

97759116 is a wasteful number, since it uses less digits than its factorization.

97759116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its digits is 119070, while the sum is 45.

The square root of 97759116 is about 9887.3209718305. The cubic root of 97759116 is about 460.6655708671.

The spelling of 97759116 in words is "ninety-seven million, seven hundred fifty-nine thousand, one hundred sixteen".