97514064 has 80 divisors (see below), whose sum is σ = 285249600. Its totient is φ = 31883904.

The previous prime is 97514063. The next prime is 97514069. The reversal of 97514064 is 46041579.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97514063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20767 + ... + 25025.

It is an arithmetic number, because the mean of its divisors is an integer number (3565620).

Almost surely, 2^97514064 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 97514064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142624800).

97514064 is an abundant number, since it is smaller than the sum of its proper divisors (187735536).

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

97514064 is a wasteful number, since it uses less digits than its factorization.

97514064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97514064 is about 9874.9209617090. The cubic root of 97514064 is about 460.2803332204.

The spelling of 97514064 in words is "ninety-seven million, five hundred fourteen thousand, sixty-four".