127364 has 12 divisors (see below), whose sum is σ = 236124. Its totient is φ = 59904.

The previous prime is 127363. The next prime is 127373. The reversal of 127364 is 463721.

127364 = T₆₉ + T₇₀ + ... + T₁₀₂.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 84100 = 208^2 + 290^2 .

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 127364.

It is not an unprimeable number, because it can be changed into a prime (127363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 869 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (19677).

2¹²⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

127364 is a deficient number, since it is larger than the sum of its proper divisors (108760).

127364 is a wasteful number, since it uses less digits than its factorization.

127364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1892 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 127364 is about 356.8809325251. The cubic root of 127364 is about 50.3132335965.

The spelling of 127364 in words is "one hundred twenty-seven thousand, three hundred sixty-four".