127962 has 12 divisors (see below), whose sum is σ = 277290. Its totient is φ = 42648.

The previous prime is 127951. The next prime is 127973. The reversal of 127962 is 269721.

It is an interprime number because it is at equal distance from previous prime (127951) and next prime (127973).

It can be written as a sum of positive squares in only one way, i.e., 123201 + 4761 = 351^2 + 69^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3537 + ... + 3572.

2¹²⁷⁹⁶² is an apocalyptic number.

127962 is an abundant number, since it is smaller than the sum of its proper divisors (149328).

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

127962 is a wasteful number, since it uses less digits than its factorization.

127962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117 (or 7114 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 127962 is about 357.7177658434. The cubic root of 127962 is about 50.3918543147.

It can be divided in two parts, 127 and 962, that added together give a square (1089 = 33²).

The spelling of 127962 in words is "one hundred twenty-seven thousand, nine hundred sixty-two".