2631953 has 8 divisors (see below), whose sum is σ = 2782080. Its totient is φ = 2485840.

The previous prime is 2631949. The next prime is 2631971. The reversal of 2631953 is 3591362.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2631953 - 2² = 2631949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a d-powerful number, because it can be written as 2²¹ + 6³ + 3² + 1 + 9 + 5⁵ + 3¹² .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2631973) 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 7 ways as a sum of consecutive naturals, for example, 398 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (347760).

2^2631953 is an apocalyptic number.

It is an amenable number.

2631953 is a deficient number, since it is larger than the sum of its proper divisors (150127).

2631953 is a wasteful number, since it uses less digits than its factorization.

2631953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007.

The product of its digits is 4860, while the sum is 29.

The square root of 2631953 is about 1622.3294979751. The cubic root of 2631953 is about 138.0678969955.

The spelling of 2631953 in words is "two million, six hundred thirty-one thousand, nine hundred fifty-three".