97464 has 32 divisors (see below), whose sum is σ = 253440. Its totient is φ = 31200.

The previous prime is 97463. The next prime is 97499. The reversal of 97464 is 46479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁹⁷⁴⁶⁴ 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 97464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126720).

97464 is an abundant number, since it is smaller than the sum of its proper divisors (155976).

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

97464 is a wasteful number, since it uses less digits than its factorization.

97464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 97464 is about 312.1922484624. The cubic root of 97464 is about 46.0201549989.

It can be divided in two parts, 97 and 464, that added together give a triangular number (561 = T₃₃).

The spelling of 97464 in words is "ninety-seven thousand, four hundred sixty-four".