126962 has 16 divisors (see below), whose sum is σ = 216000. Its totient is φ = 55440.

The previous prime is 126961. The next prime is 126967. The reversal of 126962 is 269621.

It is a super-2 number, since 2×126962² = 32238698888, which contains 22 as substring.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126962.

It is not an unprimeable number, because it can be changed into a prime (126961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2¹²⁶⁹⁶² is an apocalyptic number.

126962 is a deficient number, since it is larger than the sum of its proper divisors (89038).

126962 is a wasteful number, since it uses less digits than its factorization.

126962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its digits is 1296, while the sum is 26.

The square root of 126962 is about 356.3172743497. The cubic root of 126962 is about 50.2602431203.

It can be divided in two parts, 1269 and 62, that added together give a palindrome (1331).

The spelling of 126962 in words is "one hundred twenty-six thousand, nine hundred sixty-two".