127987965 has 64 divisors (see below), whose sum is σ = 261918720. Its totient is φ = 58086720.

The previous prime is 127987949. The next prime is 127987969. The reversal of 127987965 is 569789721.

It is not a de Polignac number, because 127987965 - 2⁴ = 127987949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127987969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157410 + ... + 158220.

It is an arithmetic number, because the mean of its divisors is an integer number (4092480).

Almost surely, 2^127987965 is an apocalyptic number.

127987965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127987965 is an abundant number, since it is smaller than the sum of its proper divisors (133930755).

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

127987965 is a wasteful number, since it uses less digits than its factorization.

127987965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 127987965 is about 11313.1766096000. The cubic root of 127987965 is about 503.9526245151.

The spelling of 127987965 in words is "one hundred twenty-seven million, nine hundred eighty-seven thousand, nine hundred sixty-five".