1052761 has 6 divisors (see below), whose sum is σ = 1083390. Its totient is φ = 1022976.

The previous prime is 1052747. The next prime is 1052767. The reversal of 1052761 is 1672501.

It can be written as a sum of positive squares in 3 ways, for example, as 534361 + 518400 = 731^2 + 720^2 .

It is not a de Polignac number, because 1052761 - 2¹¹ = 1050713 is a prime.

It is a super-2 number, since 2×1052761² = 2216611446242, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1052767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 985 + ... + 1753.

It is an arithmetic number, because the mean of its divisors is an integer number (180565).

2^1052761 is an apocalyptic number.

It is an amenable number.

1052761 is a deficient number, since it is larger than the sum of its proper divisors (30629).

1052761 is an frugal number, since it uses more digits than its factorization.

1052761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1052761 is about 1026.0414221658. The cubic root of 1052761 is about 101.7286456564.

The spelling of 1052761 in words is "one million, fifty-two thousand, seven hundred sixty-one".