97967400 has 96 divisors (see below), whose sum is σ = 308358240. Its totient is φ = 25724160.

The previous prime is 97967399. The next prime is 97967437. The reversal of 97967400 is 476979.

It is a super-2 number, since 2×97967400² = 19195222925520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38982 + ... + 41418.

It is an arithmetic number, because the mean of its divisors is an integer number (3212065).

Almost surely, 2^97967400 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 97967400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154179120).

97967400 is an abundant number, since it is smaller than the sum of its proper divisors (210390840).

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

97967400 is a wasteful number, since it uses less digits than its factorization.

97967400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 97967400 is about 9897.8482510089. The cubic root of 97967400 is about 460.9925010112.

The spelling of 97967400 in words is "ninety-seven million, nine hundred sixty-seven thousand, four hundred".