97451616 has 96 divisors (see below), whose sum is σ = 273103488. Its totient is φ = 30320640.

The previous prime is 97451609. The next prime is 97451639. The reversal of 97451616 is 61615479.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×97451616² = 18993634922022912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344211 + ... + 344493.

It is an arithmetic number, because the mean of its divisors is an integer number (2844828).

Almost surely, 2^97451616 is an apocalyptic number.

97451616 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 97451616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136551744).

97451616 is an abundant number, since it is smaller than the sum of its proper divisors (175651872).

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

97451616 is a wasteful number, since it uses less digits than its factorization.

97451616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 97451616 is about 9871.7585059603. The cubic root of 97451616 is about 460.1820577408.

The spelling of 97451616 in words is "ninety-seven million, four hundred fifty-one thousand, six hundred sixteen".