97964540 has 48 divisors (see below), whose sum is σ = 220866912. Its totient is φ = 36366336.

The previous prime is 97964533. The next prime is 97964549. The reversal of 97964540 is 4546979.

It is a junction number, because it is equal to n+sod(n) for n = 97964491 and 97964500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97964549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22847 + ... + 26793.

It is an arithmetic number, because the mean of its divisors is an integer number (4601394).

Almost surely, 2^97964540 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 97964540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110433456).

97964540 is an abundant number, since it is smaller than the sum of its proper divisors (122902372).

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

97964540 is a wasteful number, since it uses less digits than its factorization.

97964540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 97964540 is about 9897.7037741084. The cubic root of 97964540 is about 460.9880149904.

The spelling of 97964540 in words is "ninety-seven million, nine hundred sixty-four thousand, five hundred forty".