253679349 has 32 divisors (see below), whose sum is σ = 427069440. Its totient is φ = 130104000.

The previous prime is 253679333. The next prime is 253679357. The reversal of 253679349 is 943976352.

It is a happy number.

It is not a de Polignac number, because 253679349 - 2⁴ = 253679333 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 253679298 and 253679307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253679149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11299 + ... + 25199.

It is an arithmetic number, because the mean of its divisors is an integer number (13345920).

Almost surely, 2^253679349 is an apocalyptic number.

It is an amenable number.

253679349 is a deficient number, since it is larger than the sum of its proper divisors (173390091).

253679349 is a wasteful number, since it uses less digits than its factorization.

253679349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14001.

The product of its digits is 1224720, while the sum is 48.

The square root of 253679349 is about 15927.3145570746. The cubic root of 253679349 is about 633.0359460381.

It can be divided in two parts, 25367 and 9349, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 253679349 in words is "two hundred fifty-three million, six hundred seventy-nine thousand, three hundred forty-nine".