97629084 has 96 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 27561600.

The previous prime is 97629083. The next prime is 97629101. The reversal of 97629084 is 48092679.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97629083) 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, 66559 + ... + 68009.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2^97629084 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 97629084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

97629084 is an abundant number, since it is smaller than the sum of its proper divisors (195094116).

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

97629084 is a wasteful number, since it uses less digits than its factorization.

97629084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97629084 is about 9880.7430894645. The cubic root of 97629084 is about 460.4612323994.

The spelling of 97629084 in words is "ninety-seven million, six hundred twenty-nine thousand, eighty-four".