18957129 has 16 divisors (see below), whose sum is σ = 27022464. Its totient is φ = 11792000.

The previous prime is 18957119. The next prime is 18957131. The reversal of 18957129 is 92175981.

It is a cyclic number.

It is not a de Polignac number, because 18957129 - 2¹⁷ = 18826057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18957119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (1688904).

Almost surely, 2^18957129 is an apocalyptic number.

It is an amenable number.

18957129 is a deficient number, since it is larger than the sum of its proper divisors (8065335).

18957129 is a wasteful number, since it uses less digits than its factorization.

18957129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768.

The product of its digits is 45360, while the sum is 42.

The square root of 18957129 is about 4353.9785254408. The cubic root of 18957129 is about 266.6393171604.

The spelling of 18957129 in words is "eighteen million, nine hundred fifty-seven thousand, one hundred twenty-nine".