208962 has 48 divisors (see below), whose sum is σ = 524160. Its totient is φ = 59616.

The previous prime is 208961. The next prime is 208963. The reversal of 208962 is 269802.

It is an interprime number because it is at equal distance from previous prime (208961) and next prime (208963).

208962 is a modest number, since divided by 962 gives 208 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208962.

It is not an unprimeable number, because it can be changed into a prime (208961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4423 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2²⁰⁸⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

208962 is an abundant number, since it is smaller than the sum of its proper divisors (315198).

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

208962 is a wasteful number, since it uses less digits than its factorization.

208962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 208962 is about 457.1236156665. The cubic root of 208962 is about 59.3411245362.

The spelling of 208962 in words is "two hundred eight thousand, nine hundred sixty-two".