33742053 has 6 divisors (see below), whose sum is σ = 48738534. Its totient is φ = 22494696.

The previous prime is 33742013. The next prime is 33742061. The reversal of 33742053 is 35024733.

It can be written as a sum of positive squares in only one way, i.e., 32695524 + 1046529 = 5718^2 + 1023^2 .

It is not a de Polignac number, because 33742053 - 2¹⁴ = 33725669 is a prime.

It is a super-2 number, since 2×33742053² = 2277052281309618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33742013) 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, 1874550 + ... + 1874567.

It is an arithmetic number, because the mean of its divisors is an integer number (8123089).

Almost surely, 2^33742053 is an apocalyptic number.

It is an amenable number.

33742053 is a deficient number, since it is larger than the sum of its proper divisors (14996481).

33742053 is a wasteful number, since it uses less digits than its factorization.

33742053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749123 (or 3749120 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 33742053 is about 5808.7910101845. The cubic root of 33742053 is about 323.1398366359.

Adding to 33742053 its reverse (35024733), we get a palindrome (68766786).

The spelling of 33742053 in words is "thirty-three million, seven hundred forty-two thousand, fifty-three".