97782432 has 192 divisors, whose sum is σ = 301916160. Its totient is φ = 27417600.

The previous prime is 97782427. The next prime is 97782437. The reversal of 97782432 is 23428779.

It is an interprime number because it is at equal distance from previous prime (97782427) and next prime (97782437).

It is a super-2 number, since 2×97782432² = 19122808015669248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97782437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949293 + ... + 949395.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^97782432 is an apocalyptic number.

It is a pronic number, being equal to 9888×9889.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97782432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

97782432 is an abundant number, since it is smaller than the sum of its proper divisors (204133728).

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

97782432 is a wasteful number, since it uses less digits than its factorization.

97782432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 97782432 is about 9888.4999873591. The cubic root of 97782432 is about 460.7021915769.

The spelling of 97782432 in words is "ninety-seven million, seven hundred eighty-two thousand, four hundred thirty-two".