481137 has 16 divisors (see below), whose sum is σ = 706560. Its totient is φ = 289872.

The previous prime is 481133. The next prime is 481141. The reversal of 481137 is 731184.

481137 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (481133) and next prime (481141).

It is not a de Polignac number, because 481137 - 2² = 481133 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481137.

It is not an unprimeable number, because it can be changed into a prime (481133) 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, 1128 + ... + 1494.

It is an arithmetic number, because the mean of its divisors is an integer number (44160).

2⁴⁸¹¹³⁷ is an apocalyptic number.

It is an amenable number.

481137 is a deficient number, since it is larger than the sum of its proper divisors (225423).

481137 is a wasteful number, since it uses less digits than its factorization.

481137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412.

The product of its digits is 672, while the sum is 24.

The square root of 481137 is about 693.6403967475. The cubic root of 481137 is about 78.3591263585.

Subtracting 481137 from its reverse (731184), we obtain a cube (250047 = 63³).

The spelling of 481137 in words is "four hundred eighty-one thousand, one hundred thirty-seven".