127001385 has 96 divisors (see below), whose sum is σ = 267252480. Its totient is φ = 57044736.

The previous prime is 127001359. The next prime is 127001387. The reversal of 127001385 is 583100721.

It is not a de Polignac number, because 127001385 - 2⁷ = 127001257 is a prime.

It is a super-2 number, since 2×127001385² = 32258703583836450, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (127001387) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482764 + ... + 483026.

It is an arithmetic number, because the mean of its divisors is an integer number (2783880).

Almost surely, 2^127001385 is an apocalyptic number.

127001385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127001385 is an abundant number, since it is smaller than the sum of its proper divisors (140251095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127001385 is a wasteful number, since it uses less digits than its factorization.

127001385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 127001385 is about 11269.4891188554. The cubic root of 127001385 is about 502.6543967526.

The spelling of 127001385 in words is "one hundred twenty-seven million, one thousand, three hundred eighty-five".