97629300 has 180 divisors, whose sum is σ = 335564460. Its totient is φ = 24468480.

The previous prime is 97629281. The next prime is 97629373. The reversal of 97629300 is 392679.

It can be written as a sum of positive squares in 6 ways, for example, as 3849444 + 93779856 = 1962^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137346 + ... + 138054.

It is an arithmetic number, because the mean of its divisors is an integer number (1864247).

Almost surely, 2^97629300 is an apocalyptic number.

97629300 is a gapful number since it is divisible by the number (90) 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 97629300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167782230).

97629300 is an abundant number, since it is smaller than the sum of its proper divisors (237935160).

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

97629300 is a wasteful number, since it uses less digits than its factorization.

97629300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 97629300 is about 9880.7540198104. The cubic root of 97629300 is about 460.4615719825.

It can be divided in two parts, 976 and 29300, that added together give a square (30276 = 174²).

The spelling of 97629300 in words is "ninety-seven million, six hundred twenty-nine thousand, three hundred".