862641 has 24 divisors (see below), whose sum is σ = 1373736. Its totient is φ = 518400.

The previous prime is 862633. The next prime is 862649. The reversal of 862641 is 146268.

862641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

862641 is a nontrivial binomial coefficient, being equal to C(1314, 2).

It is an interprime number because it is at equal distance from previous prime (862633) and next prime (862649).

It can be written as a sum of positive squares in 4 ways, for example, as 216225 + 646416 = 465^2 + 804^2 .

It is not a de Polignac number, because 862641 - 2³ = 862633 is a prime.

862641 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862649) 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, 8491 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (57239).

2⁸⁶²⁶⁴¹ is an apocalyptic number.

862641 is the 1313-rd triangular number and also the 657-th hexagonal number.

It is an amenable number.

862641 is a deficient number, since it is larger than the sum of its proper divisors (511095).

862641 is a wasteful number, since it uses less digits than its factorization.

862641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 190 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 862641 is about 928.7846897963. The cubic root of 862641 is about 95.1940999215.

The spelling of 862641 in words is "eight hundred sixty-two thousand, six hundred forty-one".