7742133 has 12 divisors (see below), whose sum is σ = 12780768. Its totient is φ = 4424040.

The previous prime is 7742131. The next prime is 7742143. The reversal of 7742133 is 3312477.

It is not a de Polignac number, because 7742133 - 2¹ = 7742131 is a prime.

It is a d-powerful number, because it can be written as 7⁴ + 7⁷ + 4⁷ + 2²¹ + 1 + 3⁹ + 3¹⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 7742097 and 7742106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61383 + ... + 61508.

It is an arithmetic number, because the mean of its divisors is an integer number (1065064).

Almost surely, 2^7742133 is an apocalyptic number.

It is an amenable number.

7742133 is a deficient number, since it is larger than the sum of its proper divisors (5038635).

7742133 is a wasteful number, since it uses less digits than its factorization.

7742133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122904 (or 122901 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 7742133 is about 2782.4688677504. The cubic root of 7742133 is about 197.8275970973.

It can be divided in two parts, 7742 and 133, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 7742133 in words is "seven million, seven hundred forty-two thousand, one hundred thirty-three".