111962 has 16 divisors (see below), whose sum is σ = 184680. Its totient is φ = 50688.

The previous prime is 111959. The next prime is 111973. The reversal of 111962 is 269111.

It can be written as a sum of positive squares in 4 ways, for example, as 108241 + 3721 = 329^2 + 61^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214 + ... + 1302.

2¹¹¹⁹⁶² is an apocalyptic number.

111962 is a deficient number, since it is larger than the sum of its proper divisors (72718).

111962 is a wasteful number, since it uses less digits than its factorization.

111962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145.

The product of its digits is 108, while the sum is 20.

The square root of 111962 is about 334.6072324383. The cubic root of 111962 is about 48.1973931546.

It can be divided in two parts, 1119 and 62, that multiplied together give a triangular number (69378 = T₃₇₂).

The spelling of 111962 in words is "one hundred eleven thousand, nine hundred sixty-two".