5165400 has 48 divisors (see below), whose sum is σ = 16014600. Its totient is φ = 1377280.

The previous prime is 5165389. The next prime is 5165411. The reversal of 5165400 is 45615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5165389) and next prime (5165411).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3705 + ... + 4904.

Almost surely, 2^5165400 is an apocalyptic number.

5165400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5165400 is an abundant number, since it is smaller than the sum of its proper divisors (10849200).

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

5165400 is a wasteful number, since it uses less digits than its factorization.

5165400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5165400 is about 2272.7516362330. The cubic root of 5165400 is about 172.8627108637.

It can be divided in two parts, 5165 and 400, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 5165400 in words is "five million, one hundred sixty-five thousand, four hundred".