189761 has 8 divisors (see below), whose sum is σ = 223104. Its totient is φ = 159120.

The previous prime is 189757. The next prime is 189767. The reversal of 189761 is 167981.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 189761 - 2² = 189757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (27888).

2¹⁸⁹⁷⁶¹ is an apocalyptic number.

189761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

189761 is a deficient number, since it is larger than the sum of its proper divisors (33343).

189761 is a wasteful number, since it uses less digits than its factorization.

189761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351.

The product of its digits is 3024, while the sum is 32.

The square root of 189761 is about 435.6156562843. The cubic root of 189761 is about 57.4648556506.

It can be divided in two parts, 18 and 9761, that added together give a palindrome (9779).

The spelling of 189761 in words is "one hundred eighty-nine thousand, seven hundred sixty-one".