153957 has 16 divisors (see below), whose sum is σ = 224960. Its totient is φ = 93312.

The previous prime is 153953. The next prime is 153991. The reversal of 153957 is 759351.

It is a happy number.

153957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

153957 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 153957 - 2² = 153953 is a prime.

153957 is an undulating number in base 8.

153957 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153957.

It is not an unprimeable number, because it can be changed into a prime (153953) 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, 2073 + ... + 2145.

It is an arithmetic number, because the mean of its divisors is an integer number (14060).

2¹⁵³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

153957 is a deficient number, since it is larger than the sum of its proper divisors (71003).

153957 is a wasteful number, since it uses less digits than its factorization.

153957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 4725, while the sum is 30.

The square root of 153957 is about 392.3735465089. The cubic root of 153957 is about 53.5960947998.

It can be divided in two parts, 1539 and 57, that added together give a triangular number (1596 = T₅₆).

The spelling of 153957 in words is "one hundred fifty-three thousand, nine hundred fifty-seven".