2253951 has 36 divisors (see below), whose sum is σ = 4001400. Its totient is φ = 1215648.

The previous prime is 2253941. The next prime is 2253959. The reversal of 2253951 is 1593522.

It is not a de Polignac number, because 2253951 - 2⁵ = 2253919 is a prime.

It is a super-3 number, since 3×2253951³ = 34352208733150333053, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a d-powerful number, because it can be written as 2⁹ + 2²¹ + 5⁷ + 3³ + 9 + 5⁷ + 1 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253959) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8245 + ... + 8513.

It is an arithmetic number, because the mean of its divisors is an integer number (111150).

2^2253951 is an apocalyptic number.

2253951 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2253951 is a deficient number, since it is larger than the sum of its proper divisors (1747449).

2253951 is a wasteful number, since it uses less digits than its factorization.

2253951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2253951 is about 1501.3164223441. The cubic root of 2253951 is about 131.1137252237.

The spelling of 2253951 in words is "two million, two hundred fifty-three thousand, nine hundred fifty-one".