4132964 has 48 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1747200.

The previous prime is 4132963. The next prime is 4132967. The reversal of 4132964 is 4692314.

It is a Harshad number since it is a multiple of its sum of digits (29).

Its product of digits (5184) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132963) 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, 52277 + ... + 52355.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^4132964 is an apocalyptic number.

4132964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4132964 is an abundant number, since it is smaller than the sum of its proper divisors (4334236).

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

4132964 is a wasteful number, since it uses less digits than its factorization.

4132964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 4132964 is about 2032.9692570228. The cubic root of 4132964 is about 160.4798614756.

The spelling of 4132964 in words is "four million, one hundred thirty-two thousand, nine hundred sixty-four".