838761 has 16 divisors (see below), whose sum is σ = 1394688. Its totient is φ = 435600.

The previous prime is 838757. The next prime is 838769. The reversal of 838761 is 167838.

838761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 838761 - 2² = 838757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (838769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1585 + ... + 2046.

It is an arithmetic number, because the mean of its divisors is an integer number (87168).

2⁸³⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

838761 is a deficient number, since it is larger than the sum of its proper divisors (555927).

838761 is a wasteful number, since it uses less digits than its factorization.

838761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652.

The product of its digits is 8064, while the sum is 33.

The square root of 838761 is about 915.8389596430. The cubic root of 838761 is about 94.3074661214.

It can be divided in two parts, 8387 and 61, that added together give a palindrome (8448).

The spelling of 838761 in words is "eight hundred thirty-eight thousand, seven hundred sixty-one".