126765 has 20 divisors (see below), whose sum is σ = 227964. Its totient is φ = 67392.

The previous prime is 126761. The next prime is 126781. The reversal of 126765 is 567621.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 110889 = 126^2 + 333^2 .

It is not a de Polignac number, because 126765 - 2² = 126761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249 + ... + 561.

2¹²⁶⁷⁶⁵ is an apocalyptic number.

126765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126765 is a deficient number, since it is larger than the sum of its proper divisors (101199).

126765 is an equidigital number, since it uses as much as digits as its factorization.

126765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 126765 is about 356.0407280073. The cubic root of 126765 is about 50.2342343056.

The spelling of 126765 in words is "one hundred twenty-six thousand, seven hundred sixty-five".