253961 has 4 divisors (see below), whose sum is σ = 255300. Its totient is φ = 252624.

The previous prime is 253951. The next prime is 253969. The reversal of 253961 is 169352.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 109561 + 144400 = 331^2 + 380^2 .

It is a cyclic number.

It is not a de Polignac number, because 253961 - 2¹⁰ = 252937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253961.

It is not an unprimeable number, because it can be changed into a prime (253969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 326 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (63825).

2²⁵³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

253961 is a deficient number, since it is larger than the sum of its proper divisors (1339).

253961 is a wasteful number, since it uses less digits than its factorization.

253961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its digits is 1620, while the sum is 26.

The square root of 253961 is about 503.9454335541. The cubic root of 253961 is about 63.3270138354.

The spelling of 253961 in words is "two hundred fifty-three thousand, nine hundred sixty-one".