2973633 has 16 divisors (see below), whose sum is σ = 4495680. Its totient is φ = 1733184.

The previous prime is 2973617. The next prime is 2973667. The reversal of 2973633 is 3363792.

It is not a de Polignac number, because 2973633 - 2⁴ = 2973617 is a prime.

It is a d-powerful number, because it can be written as 2 + 9⁶ + 7⁵ + 3⁹ + 6⁷ + 3¹² + 3¹³ .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2973594 and 2973603.

It is not an unprimeable number, because it can be changed into a prime (2973673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (280980).

2^2973633 is an apocalyptic number.

It is an amenable number.

2973633 is a deficient number, since it is larger than the sum of its proper divisors (1522047).

2973633 is a wasteful number, since it uses less digits than its factorization.

2973633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048.

The product of its digits is 20412, while the sum is 33.

The square root of 2973633 is about 1724.4225120312. The cubic root of 2973633 is about 143.8011820266.

The spelling of 2973633 in words is "two million, nine hundred seventy-three thousand, six hundred thirty-three".