514164 has 24 divisors (see below), whose sum is σ = 1371328. Its totient is φ = 146880.

The previous prime is 514147. The next prime is 514177. The reversal of 514164 is 461415.

514164 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 514164.

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 7 ways as a sum of consecutive naturals, for example, 2977 + ... + 3144.

2⁵¹⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

514164 is an abundant number, since it is smaller than the sum of its proper divisors (857164).

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

514164 is a wasteful number, since it uses less digits than its factorization.

514164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6133 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 514164 is about 717.0522993478. The cubic root of 514164 is about 80.1125499155.

Adding to 514164 its reverse (461415), we get a palindrome (975579).

The spelling of 514164 in words is "five hundred fourteen thousand, one hundred sixty-four".