213162129 has 6 divisors (see below), whose sum is σ = 307900866. Its totient is φ = 142108080.

The previous prime is 213162119. The next prime is 213162139. The reversal of 213162129 is 921261312.

213162129 is a `hidden beast` number, since 2 + 1 + 31 + 621 + 2 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (213162119) and next prime (213162139).

It can be written as a sum of positive squares in only one way, i.e., 210830400 + 2331729 = 14520^2 + 1527^2 .

It is not a de Polignac number, because 213162129 - 2⁴ = 213162113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213162119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11842332 + ... + 11842349.

It is an arithmetic number, because the mean of its divisors is an integer number (51316811).

Almost surely, 2^213162129 is an apocalyptic number.

It is an amenable number.

213162129 is a deficient number, since it is larger than the sum of its proper divisors (94738737).

213162129 is a wasteful number, since it uses less digits than its factorization.

213162129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23684687 (or 23684684 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 213162129 is about 14600.0729107768. The cubic root of 213162129 is about 597.3607492817.

The spelling of 213162129 in words is "two hundred thirteen million, one hundred sixty-two thousand, one hundred twenty-nine".