126985 has 8 divisors (see below), whose sum is σ = 154440. Its totient is φ = 100224.

The previous prime is 126967. The next prime is 126989. The reversal of 126985 is 589621.

It can be written as a sum of positive squares in 4 ways, for example, as 8649 + 118336 = 93^2 + 344^2 .

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 126985 - 2⁷ = 126857 is a prime.

It is a super-2 number, since 2×126985² = 32250380450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126989) 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, 429 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2¹²⁶⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

126985 is a deficient number, since it is larger than the sum of its proper divisors (27455).

126985 is a wasteful number, since it uses less digits than its factorization.

126985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its digits is 4320, while the sum is 31.

The square root of 126985 is about 356.3495474952. The cubic root of 126985 is about 50.2632779281.

It can be divided in two parts, 126 and 985, that added together give a palindrome (1111).

The spelling of 126985 in words is "one hundred twenty-six thousand, nine hundred eighty-five".