26962 has 16 divisors (see below), whose sum is σ = 46872. Its totient is φ = 11520.

The previous prime is 26959. The next prime is 26981.

26962 is nontrivially palindromic in base 10 and base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 14641 + 12321 = 121^2 + 111^2 .

It is an Ulam number.

26962 is a modest number, since divided by 962 gives 26 as remainder.

It is an unprimeable number.

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, 412 + ... + 472.

2²⁶⁹⁶² is an apocalyptic number.

26962 is a deficient number, since it is larger than the sum of its proper divisors (19910).

26962 is a wasteful number, since it uses less digits than its factorization.

26962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93.

The product of its digits is 1296, while the sum is 25.

The square root of 26962 is about 164.2010962205. The cubic root of 26962 is about 29.9859193181.

It can be divided in two parts, 2 and 6962, that multiplied together give a square (13924 = 118²).

The spelling of 26962 in words is "twenty-six thousand, nine hundred sixty-two".