261162 has 24 divisors (see below), whose sum is σ = 617760. Its totient is φ = 79080.

The previous prime is 261127. The next prime is 261167.

It is a happy number.

261162 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (261167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2²⁶¹¹⁶² is an apocalyptic number.

261162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

261162 is an abundant number, since it is smaller than the sum of its proper divisors (356598).

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

261162 is a wasteful number, since it uses less digits than its factorization.

261162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1335 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 261162 is about 511.0401158422. The cubic root of 261162 is about 63.9199846387.

The spelling of 261162 in words is "two hundred sixty-one thousand, one hundred sixty-two".