34164025 has 27 divisors (see below), whose sum is σ = 49576719. Its totient is φ = 23286480.

The previous prime is 34164019. The next prime is 34164047. The reversal of 34164025 is 52046143.

The square root of 34164025 is 5845.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12299049 + 21864976 = 3507^2 + 4676^2 .

It is not a de Polignac number, because 34164025 - 2³ = 34164017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 204492 + ... + 204658.

Almost surely, 2^34164025 is an apocalyptic number.

34164025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34164025 is the 5845-th square number.

34164025 is the 2923-rd centered octagonal number.

It is an amenable number.

34164025 is a deficient number, since it is larger than the sum of its proper divisors (15412694).

34164025 is an equidigital number, since it uses as much as digits as its factorization.

34164025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 34164025 is about 324.4813027816.

Multiplying 34164025 by its sum of digits (25), we get a square (854100625 = 29225²).

34164025 divided by its sum of digits (25) gives a square (1366561 = 1169²).

The spelling of 34164025 in words is "thirty-four million, one hundred sixty-four thousand, twenty-five".