19962 has 12 divisors (see below), whose sum is σ = 43290. Its totient is φ = 6648.

The previous prime is 19961. The next prime is 19963. The reversal of 19962 is 26991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19961) and next prime (19963).

It can be written as a sum of positive squares in only one way, i.e., 19881 + 81 = 141^2 + 9^2 .

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19962.

It is not an unprimeable number, because it can be changed into a prime (19961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 537 + ... + 572.

2¹⁹⁹⁶² is an apocalyptic number.

19962 is an abundant number, since it is smaller than the sum of its proper divisors (23328).

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

19962 is a wasteful number, since it uses less digits than its factorization.

19962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1114 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 19962 is about 141.2869420718. The cubic root of 19962 is about 27.1269739550.

The spelling of 19962 in words is "nineteen thousand, nine hundred sixty-two".