1077633 has 6 divisors (see below), whose sum is σ = 1556594. Its totient is φ = 718416.

The previous prime is 1077607. The next prime is 1077641. The reversal of 1077633 is 3367701.

It can be written as a sum of positive squares in only one way, i.e., 898704 + 178929 = 948^2 + 423^2 .

It is not a de Polignac number, because 1077633 - 2¹² = 1073537 is a prime.

It is a super-2 number, since 2×1077633² = 2322585765378, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1077597 and 1077606.

It is not an unprimeable number, because it can be changed into a prime (1077673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59860 + ... + 59877.

2^1077633 is an apocalyptic number.

It is an amenable number.

1077633 is a deficient number, since it is larger than the sum of its proper divisors (478961).

1077633 is a wasteful number, since it uses less digits than its factorization.

1077633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119743 (or 119740 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 1077633 is about 1038.0910364703. The cubic root of 1077633 is about 102.5235480301.

The spelling of 1077633 in words is "one million, seventy-seven thousand, six hundred thirty-three".