253540 has 24 divisors (see below), whose sum is σ = 608832. Its totient is φ = 86880.

The previous prime is 253537. The next prime is 253543. The reversal of 253540 is 45352.

253540 = T₉₂ + T₉₃ + ... + T₁₃₁.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253537) and next prime (253543).

It is not an unprimeable number, because it can be changed into a prime (253543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766 + ... + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (25368).

2²⁵³⁵⁴⁰ is an apocalyptic number.

253540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253540 is an abundant number, since it is smaller than the sum of its proper divisors (355292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253540 is a wasteful number, since it uses less digits than its factorization.

253540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 253540 is about 503.5275563462. The cubic root of 253540 is about 63.2920013486.

Adding to 253540 its reverse (45352), we get a palindrome (298892).

The spelling of 253540 in words is "two hundred fifty-three thousand, five hundred forty".