378961 has 8 divisors (see below), whose sum is σ = 422784. Its totient is φ = 336720.

The previous prime is 378953. The next prime is 378967. The reversal of 378961 is 169873.

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

It is a cyclic number.

It is not a de Polignac number, because 378961 - 2³ = 378953 is a prime.

It is a super-2 number, since 2×378961² = 287222879042, which contains 22 as substring.

It is a Duffinian number.

378961 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (378967) 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, 151 + ... + 883.

It is an arithmetic number, because the mean of its divisors is an integer number (52848).

2³⁷⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

378961 is a deficient number, since it is larger than the sum of its proper divisors (43823).

378961 is a wasteful number, since it uses less digits than its factorization.

378961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791.

The product of its digits is 9072, while the sum is 34.

The square root of 378961 is about 615.5980831679. The cubic root of 378961 is about 72.3654897951.

It can be divided in two parts, 37 and 8961, that added together give a palindrome (8998).

The spelling of 378961 in words is "three hundred seventy-eight thousand, nine hundred sixty-one".