2638961 has 8 divisors (see below), whose sum is σ = 3009384. Its totient is φ = 2292480.

The previous prime is 2638949. The next prime is 2638973. The reversal of 2638961 is 1698362.

2638961 = 306² + 307² + ... + 331².

It is an interprime number because it is at equal distance from previous prime (2638949) and next prime (2638973).

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 2512225 = 356^2 + 1585^2 .

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 2638961 - 2⁶ = 2638897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2638901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5750 + ... + 6191.

It is an arithmetic number, because the mean of its divisors is an integer number (376173).

2^2638961 is an apocalyptic number.

It is an amenable number.

2638961 is a deficient number, since it is larger than the sum of its proper divisors (370423).

2638961 is a wasteful number, since it uses less digits than its factorization.

2638961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11971.

The product of its digits is 15552, while the sum is 35.

The square root of 2638961 is about 1624.4879193149. The cubic root of 2638961 is about 138.1903310854.

The spelling of 2638961 in words is "two million, six hundred thirty-eight thousand, nine hundred sixty-one".