212629164 has 48 divisors (see below), whose sum is σ = 550131456. Its totient is φ = 63374400.

The previous prime is 212629127. The next prime is 212629199. The reversal of 212629164 is 461926212.

It is a super-2 number, since 2×212629164² = 90422322766677792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5152 + ... + 21255.

It is an arithmetic number, because the mean of its divisors is an integer number (11461072).

Almost surely, 2^212629164 is an apocalyptic number.

It is an amenable number.

212629164 is an abundant number, since it is smaller than the sum of its proper divisors (337502292).

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

212629164 is a wasteful number, since it uses less digits than its factorization.

212629164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26486 (or 26484 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 212629164 is about 14581.8093527518. The cubic root of 212629164 is about 596.8624774069.

The spelling of 212629164 in words is "two hundred twelve million, six hundred twenty-nine thousand, one hundred sixty-four".