253953 has 24 divisors (see below), whose sum is σ = 436800. Its totient is φ = 139104.

The previous prime is 253951. The next prime is 253969. The reversal of 253953 is 359352.

It is not a de Polignac number, because 253953 - 2¹ = 253951 is a prime.

It is a Curzon 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 253953.

It is not an unprimeable number, because it can be changed into a prime (253951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1758 + ... + 1896.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

It is a Proth number, since it is equal to 31 ⋅ 2¹³ + 1 and 31 < 2¹³.

2²⁵³⁹⁵³ is an apocalyptic number.

It is an amenable number.

253953 is a deficient number, since it is larger than the sum of its proper divisors (182847).

253953 is a wasteful number, since it uses less digits than its factorization.

253953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 253953 is about 503.9374961243. The cubic root of 253953 is about 63.3263488758.

The spelling of 253953 in words is "two hundred fifty-three thousand, nine hundred fifty-three".