2968353 has 32 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 1790208.

The previous prime is 2968337. The next prime is 2968367. The reversal of 2968353 is 3538692.

It is not a de Polignac number, because 2968353 - 2⁴ = 2968337 is a prime.

It is a super-2 number, since 2×2968353² = 17622239065218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2968373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13200 + ... + 13422.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

2^2968353 is an apocalyptic number.

It is an amenable number.

2968353 is a deficient number, since it is larger than the sum of its proper divisors (1870047).

2968353 is a wasteful number, since it uses less digits than its factorization.

2968353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2968353 is about 1722.8908845310. The cubic root of 2968353 is about 143.7160201978.

It can be divided in two parts, 2968 and 353, that added together give a triangular number (3321 = T₈₁).

The spelling of 2968353 in words is "two million, nine hundred sixty-eight thousand, three hundred fifty-three".