126077 has 12 divisors (see below), whose sum is σ = 153216. Its totient is φ = 103320.

The previous prime is 126067. The next prime is 126079. The reversal of 126077 is 770621.

126077 = 204² + 205² + 206².

It is a happy number.

It is not a de Polignac number, because 126077 - 2⁶ = 126013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1478 + ... + 1560.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2¹²⁶⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

126077 is a deficient number, since it is larger than the sum of its proper divisors (27139).

126077 is an equidigital number, since it uses as much as digits as its factorization.

126077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 126077 is about 355.0732318832. The cubic root of 126077 is about 50.1431895436.

Adding to 126077 its reverse (770621), we get a palindrome (896698).

It can be divided in two parts, 1260 and 77, that multiplied together give a triangular number (97020 = T₄₄₀).

The spelling of 126077 in words is "one hundred twenty-six thousand, seventy-seven".